What are the solutions to the equation 0=12t^3-6t^2-10 ?

The solutions to the equation 0=12t^3-6t^2-10 are t\approx 1.14057…

Find the zeros of 0=12t^3-6t^2-10

The zeros of 0=12t^3-6t^2-10 are t\approx 1.14057…

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0 = 12 t^{3} - 6 t^{2} - 10

t \approx 1.14057 \dots

Solution steps

0 = 12 t^{3} - 6 t^{2} - 10

Switch sides

12 t^{3} - 6 t^{2} - 10 = 0

Find one solution for

12 t^{3} - 6 t^{2} - 10 = 0

using Newton-Raphson:

t \approx 1.14057 \dots

Apply long division:

\frac{12 t ^{3} - 6 t ^{2} - 10}{t - 1.14057 \dots} = 12 t^{2} + 7.68690 \dots t + 8.76750 \dots

12 t^{2} + 7.68690 \dots t + 8.76750 \dots \approx 0

Find one solution for

12 t^{2} + 7.68690 \dots t + 8.76750 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx 1.14057 \dots

x^{2} 5 x = 0

(x^{2} - 5)^{2} = 16

(x + 3) (x^{2} + 2 x + 6) + (x + 3) (x - 4) = 0

x, x^{3} = y + 1

6 x^{3} - 7 x^{2} - 5 x = 0

What are the solutions to the equation 0=12t^3-6t^2-10 ?
The solutions to the equation 0=12t^3-6t^2-10 are t\approx 1.14057…
Find the zeros of 0=12t^3-6t^2-10
The zeros of 0=12t^3-6t^2-10 are t\approx 1.14057…